(************** Content-type: application/mathematica **************
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Notebook[{

Cell[CellGroupData[{
Cell["\<\
M@th Desktop and the LTM Project
\
\>", "Title"],

Cell["Phil Ramsden", "Author"],

Cell["Imperial College London, UK, p.ramsden@imperial.ac.uk", \
"TextAboutAuthor"],

Cell["Reinhard Simonovits", "Author"],

Cell["\<\
Bundeshandelsakademie Grazbachgasse, Graz, Karl-Franzens \
University, Graz, Austria, Reinhard.Simonovits@uni-graz.at\
\>", \
"TextAboutAuthor"],

Cell["Bernd Thaller", "Author"],

Cell["\<\
Karl-Franzens University, Graz, Austria, \
Bernd.Thaller@uni-graz.at\
\>", "TextAboutAuthor"],

Cell["\<\
Europe has a problem with high school mathematics. There has been \
an observable decline in mathematical attainment and in student enthusiasm, \
taking different forms in different countries. There is a clear need for \
exciting, pedagogically sound learning materials, and for associated \
didactical strategies and training for their teachers. \
\>", "Abstract"],

Cell[TextData[{
  "Three universities and high-schools from eight European countries have \
been collaborating to develop ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  "-based courseware in the form of mathematical learning tools, together \
with didactical concepts for their use in the classroom and material for \
in-service training of teachers. These learning resources, whose target group \
is secondary high schools in Europe, will enable teachers to pursue a \
problem-based and group-oriented approach to teaching mathematics that \
emphasizes methods and concepts over computations. Problems and exercises are \
designed to encourage an experimental, explorative approach. "
}], "Abstract"],

Cell[TextData[{
  "The learning resources consist of extensions to the M@th Desktop \
application already developed by Reinhard Simonovits. M@th Desktop (MD) is an \
interactive teaching and learning software package for mathematics classes. \
It contains a collection of ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " notebooks with associated palettes and is designed to be especially \
compatible with a blended learning strategy, in which computer-based \
activities are used to complement other traditional approaches, such as \
teacher-led work or paper-based exercises. MD also provides tools for \
teachers and students to create palettes, notebooks and tests for their own \
needs. "
}], "Abstract"],

Cell[CellGroupData[{

Cell["Background: the Mathematics Problem in Europe", "Section"],

Cell["\<\
In several countries of Europe, evidence of a problem with High \
School mathematics seems to be mounting. The PISA study of 2003 showed \
clearly that students throughout Europe tend to find mathematics less \
enjoyable to study than other subjects, and that most of them feel that their \
understanding of the subject is partial and incomplete [1]. Discussions with \
colleagues suggest that there is anecdotal evidence that this problem may be \
increasing, and in some countries of Europe, this anecdotal evidence has been \
borne out by more rigorous analysis. For example, there have long been \
widespread reports, within the UK, of students' increasing diffculties with \
the transition between school and university; these were confirmed in a 2000 \
study commissioned by the UK Engineering Council [2], and these and other \
problems studied and reported on more recently by the government-commissioned \
Smith Inquiry (reported in [3]). Numbers of students opting to study the \
subject at Advanced Level in the UK have fallen year on year, despite a rise \
in numbers undertaking Advanced Level study overall. \
\>", "Text",
  CellChangeTimes :> {3352036360.71875}],

Cell[TextData[{
  "The use of high-quality courseware is widely seen (e.g. in [3]) as central \
to an effective response to these problems, and the authors are united in \
their view that ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " offers a unique environment in which such courseware may be rapidly \
developed and deployed (development of interactive content in ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " is, in our experience, orders of magnitude faster than in nearly all \
other code development environments, because so much mathematical and \
interactive functionality is already part of ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  "). "
}], "Text"],

Cell[TextData[{
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  "'s penetration of the High School market in Europe remains patchy, \
however, and colleagues who teach in High Schools suggest that part of the \
reason is the need for students, and indeed teachers, to master an unfamiliar \
syntax ",
  StyleBox["before ",
    FontSlant->"Italic"],
  "courseware based on the standard ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " interface can be used. (In universities, where students are selected or \
self-selected and where ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " expertise is more commonplace among teaching staff, this problem is less \
acute.)"
}], "Text"]
}, Open  ]],

Cell[CellGroupData[{

Cell["M@th Desktop and MDTools", "Section"],

Cell[TextData[{
  "M@th Desktop",
  " and MDTools [4] are ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  "-based courseware applications developed by Reinhard Simonovits at the \
Bundeshandelsakademie Grazbachgasse in Graz, Austria, and at Karl-Franzens \
University in the same city. Together, they consist of"
}], "Text"],

Cell["Menus and menu items", "BulletedList"],

Cell["Palettes", "BulletedList"],

Cell["Notebooks", "BulletedList"],

Cell["Help System content", "BulletedList"],

Cell["Library packages (that is, .m files)", "BulletedList"],

Cell[TextData[{
  "The difference between them is that whereas MDTools just has ",
  StyleBox["functionality",
    FontSlant->"Italic"],
  " (special commands, palettes and resources for authors), ",
  "M@th Desktop",
  " also has ",
  StyleBox["curriculum content ",
    FontSlant->"Italic"],
  "(lessons, worked examples, activities, assessment tasks and projects). \
They are set up to integrate with one another, and each is based on the same \
pedagogic approach (see \[OpenCurlyQuote]Blended Learning\[CloseCurlyQuote] \
below)."
}], "Text"],

Cell[TextData[{
  "Installation is straightforward, and is implemented within ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  ". Students access ",
  "M@th Desktop",
  " and MDTools via the standard ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " Front End interface, to which just a few changes have been made (for \
example, additional palettes, menus and menu items, and some changes to \
global settings such as default animation speed). However, the differences \
are important, because together with the library functions and the Help \
System content, they add up to an interface involving a substantially less \
steep learning curve for teachers and learners alike. "
}], "Text"],

Cell[TextData[{
  "Here is a sample student trajectory through M@th Desktop.  When the \
student launches ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " (Versions 4.0 - 5.2 are supported) what she sees is much the same as the \
usual ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " interface, except that a number of new drop-down menus have been \
provided."
}], "Text",
  CellChangeTimes :> {3352036653.01563}],

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Each notebook has five sections:\
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Cell["\<\
Questions and exercises may be accessed by clicking on the \
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copy of the notebook, which can then be saved, perhaps for later \
grading.\
\>", "Text"],

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Cell[CellGroupData[{

Cell["Custom content", "Section"],

Cell[TextData[{
  "M@th Desktop also provides tools that enable teachers and students to \
create their ",
  StyleBox["own content",
    FontWeight->"Bold"],
  ", such as "
}], "Text"],

Cell["movies", "BulletedList"],

Cell["tables", "BulletedList"],

Cell["palettes", "BulletedList"],

Cell["notebooks", "BulletedList"],

Cell["tests, practice sheets", "BulletedList"],

Cell["exercise pools", "BulletedList"],

Cell["packages", "BulletedList"],

Cell["tutorials", "BulletedList"],

Cell[TextData[{
  "The M@th Desktop menu has items labelled ",
  StyleBox["Create a Movie",
    FontWeight->"Bold"],
  ", ",
  StyleBox["Create a Table",
    FontWeight->"Bold"],
  " and ",
  StyleBox["Create Own Material",
    FontWeight->"Bold"],
  ". The last of these leads to a submenu. Selecting ",
  StyleBox["Notebook",
    FontWeight->"Bold"],
  " from this submenu causes a sample notebook, in the M@th Desktop style, to \
be created, which the author can then customise:"
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    CellChangeTimes :> {3352039995.29688}]
}], "Text",
  TextAlignment->Center,
  TextJustification->0,
  CellChangeTimes :> {3352039995.29688}],

Cell["\<\
For background, further articles on M@th Desktop and MDTools may be \
consulted [15-23].\
\>", "Text",
  CellChangeTimes :> {3352037366.84375, 3352106048.57951, 3352106140.67326, \
3352106266.95451, 3352106519.67326}]
}, Open  ]],

Cell[CellGroupData[{

Cell["Blended Learning", "Section"],

Cell[TextData[{
  "The pedagogic philosophy underlying M@th Desktop, and the teaching \
approach with which it is most compatible, is, broadly speaking, that of ",
  StyleBox["blended learning",
    FontSlant->"Italic"],
  ". [5,6]  M@th Desktop is not intended to replace face-to-face contact \
between teacher and student, or to replace other types of learning activity. \
Central to M@th Desktop's design is the idea that computer-based resources \
should be used in more than one way (hands-on sessions, teacher-led \
activities, problem-solving, project work, etc); that they should be used \
alongside other resources, and that decisions about teaching should be made \
by the teacher. "
}], "Text",
  CellChangeTimes :> {3352036927.60938}],

Cell[TextData[{
  "From the teacher's point of view, traditional teaching is still there. MD \
provides with its palettes tools which supports his/her teaching effectively. \
The teacher selects also parts from the nbs which are appropriate for his/her \
particular class. He does not have to follow a particular trajectory, or \
always use the PC in the classroom; the software ",
  StyleBox["supports",
    FontSlant->"Italic"],
  ", rather than ",
  StyleBox["supplanting",
    FontSlant->"Italic"],
  ", his teaching goals. "
}], "Text",
  CellChangeTimes :> {3352037030.04688}],

Cell[TextData[{
  "From the students' point of view, the traditional teaching is still highly \
appreciated. Having grasped a mathematical concept, they enjoy checking their \
results using M@th Desktop. The palettes in particular are generally very \
popular; they enable the students to access ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  "'s functionality, and the additional functionality supplied by M@th \
Desktop, without needing first to master ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  "'s syntax. They are helpful for problem-solving and for exploration of \
specific mathematical concepts."
}], "Text",
  CellChangeTimes :> {3352037330.84375, 3352104285.64201}],

Cell[TextData[{
  "This is not, then, \[OpenCurlyDoubleQuote]courseware\
\[CloseCurlyDoubleQuote] in the sense of stand-alone, self-study resources; \
M@th Desktop does not purport to be a ",
  StyleBox["tutor",
    FontSlant->"Italic"],
  " (not even an \[OpenCurlyDoubleQuote]intelligent\[CloseCurlyDoubleQuote] \
one)."
}], "Text",
  CellChangeTimes :> {3352037332.35938}],

Cell["\<\
The courseware has been used, so far, on a small scale, \
predominantly in Austria, Germany, France and the Czech Republic; as we \
explain below, a Europe-wide rollout is currently taking place. It is \
available in English and German. Topic areas currently covered are data \
fitting, differentiation, integration. M@th Desktop 3.0 will include \
materials and simulation tools  in statistics. This version will be available \
in winter 2006/07.\
\>", "Text",
  CellChangeTimes :> {3352037366.84375}],

Cell["\<\
Further reflections and results, concerning the educational use of \
computer algebra systems, that have influenced the design of M@th Desktop may \
be found in [7, 8, 9].\
\>", "Text",
  CellChangeTimes :> {3352037366.84375, 3352106048.57951, 3352106140.67326, \
3352106266.95451}],

Cell[TextData[{
  "An evaluation copy of M@th Desktop may be downloaded at",
  StyleBox[" ",
    ButtonBoxOptions->{ButtonNote->"M@th Desktop"}],
  StyleBox[ButtonBox["www.deltasoft.at",
    ButtonData:>{
      URL[ "http://www.deltasoft.at"], None},
    ButtonNote->"M@th Desktop"],
    ButtonBoxOptions -> {DefaultStyle -> "Hyperlink"}],
  "."
}], "Text",
  CellChangeTimes :> {3352037371.46875}]
}, Open  ]],

Cell[CellGroupData[{

Cell["Evaluation Findings", "Section"],

Cell["\<\
Evaluative report on IMST3 project \[OpenCurlyDoubleQuote]Testing \
of e-learning sequences on normal distribution with MD\[OpenCurlyDoubleQuote] \
by Univ.Prof.Dr. Bernd Thaller. Here is a summary of the report.\
\>", "Text",\

  CellChangeTimes :> {3352037388.89063, 3352104219.23576}],

Cell["\<\
The success of e-learning sequences in class was now to be \
evaluated by me in two inspections, which took place on March 4 and March 8, \
2005. Two double units from 7:45 a.m. onwards were at our disposal.\
\>", \
"Text"],

Cell["\<\
The class starts with a conventional phase in which the teacher \
explains the theory on the blackboard. As usual, students write and calculate \
in their school exercise books. One example with simple numbers is calculated \
by hand. Only after this, the computer supported part of the lesson begins. \
The  laptop of one student is connected to the data projector. First the \
teacher dictates the most important results of the theoretical part, which \
the students write in a M@th Desktop worksheet on their computers. Each \
students works for him-/herself, sometimes consulting the projection on the \
wall. The students are now getting more and more attentive and the talking is \
only relevant for the subject, as the computer does not forgive any mistakes.\
\
\>", "Text",
  CellChangeTimes :> {3352037460.42188}],

Cell["\<\
The importance of the graphical representation of numerical data \
and the visualisation of mathematical objects, is increasing in \
computer-supported teaching. The software enables graphical representation of \
the given statistical data, the distribution function or the regression and \
inputs. With this graphic typical characteristics and initial data can be \
easily visualised. \
\>", "Text",
  CellChangeTimes :> {3352037396.07813, 3352037556.75}],

Cell["\<\
Even during the computer-supported phase, the teacher is the centre \
of the class, and determines speed and content. Activities for which no time \
is available during the class are postponed to the project phase. The \
students appear to realise how much easier the calculation of the example \
becomes with the help of the provided software. They are pleased with the \
result.\
\>", "Text",
  CellChangeTimes :> {3352037396.07813, 3352037564.4375, 3352037693.07813}],

Cell["In summary, the following can be pointed out.", "Text",
  CellChangeTimes :> {3352037716.67188}],

Cell[TextData[{
  Cell[TextData[{
    
    CounterBox["List"],
    ".\[ThickSpace]\[MediumSpace]"
  }],
    CellSize->{24, Inherited},
    TextAlignment->Right],
  "E-learning sequences on normal distribution and linear regression are a \
useful and attractive way to support teaching. "
}], "BeginNumberedList",
  CellChangeTimes :> {3352037753.64063}],

Cell[TextData[{
  Cell[TextData[{
    
    CounterBox["List"],
    ".\[ThickSpace]\[MediumSpace]"
  }],
    CellSize->{24, Inherited},
    TextAlignment->Right],
  "The computer cannnot be used to save time in class. Actually the \
combination of conventional teaching with computer-supported sequences of \
teaching needs more time."
}], "NumberedList",
  CellChangeTimes :> {3352037779.48438}],

Cell[TextData[{
  Cell[TextData[{
    
    CounterBox["List"],
    ".\[ThickSpace]\[MediumSpace]"
  }],
    CellSize->{24, Inherited},
    TextAlignment->Right],
  "The interchange between conventional and computer-supported teaching is a \
relevant element of the success in class, as it enables you to work out the \
same lesson with different kinds of student activities. In addition, the \
students\[CloseCurlyQuote] level of attention and contentedness can be \
improved."
}], "NumberedList",
  CellChangeTimes :> {3352037827.64063}],

Cell[TextData[{
  Cell[TextData[{
    
    CounterBox["List"],
    ".\[ThickSpace]\[MediumSpace]"
  }],
    CellSize->{24, Inherited},
    TextAlignment->Right],
  "The software encourages the students to choose symbolic, numeric, graphic \
and textual forms of representation for solving mathematical problems in a \
way that is balanced and appropriate to the acutal purpose.  "
}], "NumberedList",
  CellChangeTimes :> {3352037855.76563}],

Cell["\<\
Further research on the use of M@th Desktop has been carried out by \
diploma students at Karl-Franzens University [10-14].\
\>", "Text",
  CellChangeTimes :> {3352037396.07813, 3352037564.4375, 3352037693.07813, \
3352106381.95451}]
}, Open  ]],

Cell[CellGroupData[{

Cell["The LTM Project", "Section"],

Cell[TextData[{
  "The European Union has funded, over the course of three years beginning in \
October 2005, a project, called LTM (standing for Learning Tools in \
Mathematics), aimed at creating two new,  multilingual, learning modules \
based on M@th Desktop. These modules will cover the topic areas of ",
  StyleBox["Functions and Graphs",
    FontSlant->"Italic"],
  " and ",
  StyleBox["Vectors and Matrices ",
    FontSlant->"Italic"],
  "and, unlike the existing M@th Desktop modules, will be freely available to \
all schools in the EU and its affiliated nations. "
}], "Text"],

Cell["\<\
Colleagues involved in the LTM Project are drawn from Austria, the \
Czech Republic, France, Finland, Germany,  Italy,  Sweden and the United \
Kingdom, and the two new modules will be available in versions corresponding \
to each of the languages of those countries, and suitably localised to \
reflect differing curricular needs.\
\>", "Text"],

Cell[TextData[{
  "Central to the work of the LTM project is training teachers in the use of \
",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " and ",
  "M@th Desktop",
  ", and specifically the development of "
}], "Text"],

Cell["\<\
modules for intial teacher training, in-service teacher training;\
\
\>", "BulletedList"],

Cell["a training delivery model for each participating country;", \
"BulletedList"],

Cell["\<\
later in the life of the project, dissemination and publicity \
materials for the two new modules.\
\>", "BulletedList"],

Cell[TextData[{
  "The new modules are currently in an early stage of development, but fresh \
content already exist; the following, for example, are excerpts from a movie \
on the exponential growth, in a culture dish, of ",
  StyleBox["e coli",
    FontSlant->"Italic"],
  " bacteria."
}], "Text"],

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(*******************************************************************
End of Mathematica Notebook file.
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